Bill uses rope to outline a location to build a rectangular deck that should be 8 feet wide and 15 feet long. His friend Tyrone lays a 15-foot-long board on the diagonal of the deck area Bill outlined, and it just fits from corner to opposite corner. What should Tyrone tell Bill?

Answers

Answer 1

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

What is a rectangle?

A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.

The length of the diagonal (x) can be determined using Pythagoras, hence:

x² = 15² + 8²

x = 17 feet

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

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Related Questions


For a football game. Adult tickets are 8 dollars and student tickets are 5 dollars. The school sells 2570 tickets and makes a total of $19,060.

how many adult ticket were sold

how many student tickets were sold

Answers

You don’t know how many adults were there and how many students were there.

But,

$8(adults) + $5(students) = $19060

And,

Adults + Students = 2570

Let A = adults and S = students

8A + 5S = 19060

A + S = 2570

This is called a system of equations. To solve, you need to rearrange both equations to solve for one of the variables, you can pick any. This makes them cancel out so you can focus on 1 variable. After solving, you can plug the solved variable back into any of the given equations and solve for the second one.

S = 19060/5 - 8A/5

S = 3812 - (8A/5)

This is the first equation rearranged to solve for S

Second:

A + S = 2570

S = 2570 - A

Now, equal each other

3812 - (8A/5) = 2570 - A

Solve for A

3812 + A = 2570 + 8A/5

19060 + 5A = 12850 + 8A

19060 - 12850 = 3A

6210 = 3A

2070 = A

There were 2070 adults

Now, plug A back into any of the 2 equations and solve for S

A + S = 2570

2070 + S = 2570

S = 2570 - 2070

S = 500

2070 adult tickets were sold
500 student tickets were sold

What is the square inches?

Answers

Answer:

given :-

for rectangular part: length=12in, breadth=8in

for triangular part:base=8in, height=3in

area of the given fig:

area of the given fig:area of 2 triangles +area of rectangle

[tex]→2( \frac{1}{2} \times b \times h) + l \times b \\ →2( \frac{1}{2} \times 8 \times 3) + 12 \times 8 \\ →24 + 96 \\ → {120in}^{2} [/tex]

hope it helps you<3

Nicholas bought 776.25 ounces of chocolate. 213.46 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Nicholas buy?

Answers

562.79 ounces

Step-by-step explanation:
The amount of dark chocolate that Nicholas bought will be:
= 776.25 - 213.46
= 562.79 ounces


select all the expressions that are equivalent to 16^5/2

Answers

Answer:

A, C, E

Step-by-step explanation:

[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]

A. 4^5 = 1024   Yes

B. 8^5    No

C. 4^5    Yes

D. [tex] 16^{\frac{2}{5}} [/tex]    No

E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex]   Yes

F. [tex] 16^{\frac{11}{2}} [/tex]   No

Could you also provide an explanation

Answers

Answer:

Equation: y=mx+b

sorry for taking so long! :)

AC) y=-1, because it is remaining constant and the slope is zero, the y intercept is -1.

AB) The slope is 1 and the y intercept is 1.

So, y=x+1

BC) The slope is -6. The y intercept is harder to find. You can use this equation however;

y-y(1)=m(x-x(1)

y-5=-6(x-4)

y=-6x+29

Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 33^{\circ}

. If the string from the kite to her hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft

The situation forms a right angle triangle.

What is a right angle triangle?

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.

Therefore, the height of the kite form the ground can be found as follows;

sin 33° = opposite / hypotenuse

sin 33° = h / 75

cross multiply

h = 75 × sin 33

h = 40.8479276261

h = 40.84

The height of kite from ground = 40.847 + 3.5  = 44.3479276261 = 44.85 ft

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Answer:

44.35

Step-by-step explanation:

i did it

Find m S
12x +4
G
40°
F
E
D
4x

Answers

Answer: C

Step-by-step explanation:

What is the answer, I need this for a geometry assignment.

Answers

Answer:

x= 14. (ik this not trig but side opp. 30 angle is half the hypotenuse in right triangle). pls give brainliest

Step-by-step explanation:

X+6
Given f(x) =
x2 - 9x +18
which of the following is true?

Answers

This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

Increasing and decreasing function

Given the rational function expressed as:

f(x) = x+6/x^2-9x+18

To determine the point where the function is decreasing, we will equate the numerator to zero to solve for the value of x

x + 6 = 0
x = -6

This shows that the function will be decreasing at the point where x < -6 or increasing at the point here x > 6

Learn more on increasing function here: https://brainly.com/question/12940982

2. Which exponential function matches the
values in the table below?
х
3
4
5
4,096
32,768
| f(x) 512
A f(x) = x8
B f(x) = 8*
C f(x) = 64(2)*
D f(x) = 8x

Answers

Answer:

B. f(x) = 8*

Step-by-step explanation:

putting the value given in table

=> 512 = 8³

=> 512 = 512

=> 5,096 = 8

=> 5,096 = 5,096

=> 32,768 = 8

=> 32,768 = 32,768

so, it's B f(x) = 8*

Answer:

The answer is B) f(x)=8^x

Please help me

x^2 + 5=41 (find all solutions to the equation)

Answers

Answer:

X=6!!

Step-by-step explanation:

x2+5=41. x2=36. ±62=36. x=6.

x=6!!!

How do you evaluate a geometric series?

Answers

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .

hope it helps...!!!

Write the following in order of size ,starting with the smallest. 66/100 , 0. 6 , 0. 67 , 666/1000

Answers

Answer:

0.6,66/100,666/1000,0.67

If apples cost $1.08 per pound, how much would 3.8 pounds cost?

Answers

Answer:

4.10

Step-by-step explanation:

1.08 * 3.8 = 4.104

but money is 2dp so...

4.10

The car model was built on a 1:36 scale. If the length of the car is 180 inches, how many inches long is the model? ​

Answers

Answer:

the results are

a. 1,080-inch

b.  90 feet

Step-by-step explanation:

there are 4 steps to get to your resluts

can someone explain to me what this is in detail P(A∩B) = P(A) · P(B)

Answers

Answer:

Basically the statment is saying that in order to get P (A and B) you have to multiply P(A) by P(B).

Answer:

I think it means the probability of selecting (AnB) is equal to Probability of selecting A × probability of selecting B

Step-by-step explanation:

Please rate bainliest if you think I deserve

Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.2%, compounded monthly, and want the fund to have a value of $55,500 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $131.93 b. $2,662.49 c. $1,643.30 d. $3,446.64 please select the best answer from the choices provided a b c d

Answers

Answer:

a. $131.93

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

edge

Mandy was painting a mural shape of a rectangle. The length of the mural was 12 feet and the width was 5 feet. what was the area of the mural?

Answers

Answer:

The area of the mural is 60 feet.

Step-by-step explanation:

The equation for area is L(Length) x W(Width). So, take the length of the mural (12 feet) & multiply it by the width (5). The answer you should get is 60 feet.

Solve the math problem

Answers

Answer:

Explanatory variable (independent variable)

The variable that affects the other variable.Drawn along the horizontal axis.

Response variable (dependent variable)

The variable that is being affected.  Drawn up the vertical axis.

(a) As the class wondered if they could predict the father's height, when they know the son's height

Explanatory variable = son's height

Response variable = father's height

(even though this is contrary to real-life, where the father's height would be used to predict the son's height)

(b) **see first attachment**

(c)  The association is positive since the father's height increases as the son's height increases.

(d)  **see second attachment**

Outlier = Paul  (64.5, 73)

This point is far away from the majority of points on the scatter plot.

If we add a regression line to the scatter plot, we can see that this data point is the farthest from the regression line.

graph the function y=x-10

Answers

Use Desmos, it is a great graphing calculator to help you with stuff like this!

Carmen's car used 11 gallons of gas to travel 462 miles. How many miles per gallon did his car travel? Show the steps for finding the unit rate​

Answers

Answer:

I'm pretty sure it's 473 if that isn't correct Then what you do Is Divide it or Mutiply it if you still don't get your answer Be sure to Ask someone

Answer:

42miles per gallon

Step-by-step explanation:

since total gallons of fuel used is 11 gallons to travel 462miles,

per gallon will be 462/11 =42miles per gallon

factories
Need fast

Answers

Answer:
Factor x^8+x^4+1

Rewrite the middle term.
X^8+2x^4.1-x^4+1

Rearrange terms.
x^8+2x^4.1+1 -x^4
Factor first three terms by perfect square rule
(X^4+1)^2-x^4
Rewrite
x^4
as
(X^2)^2
(X^4+1)-(x^2)^2
Since both terms are perfect squares, factor using the difference of squares formula,
a^2-b^2=(a+b)(a-b)
where
a=x^4+1
and
b=x^2

Simplify.
(X^4+1+x^2)(x^4+1-x^2)
Step-by-step explanation:

Have a great day
given:

[tex] {x}^{8} + {x}^{4} + 1[/tex]

to find:

factorise

solution:

[tex] {x}^{8} + {x}^{4} + 1[/tex]

[tex] = x ^{8} + 2 {x}^{4} + 1 - {x}^{4} [/tex]

[tex] = ( {x}^{4} + 1 {)}^{2} - ( {x}^{2} {)}^{2} [/tex]

[tex] = ({x}^{4 } + 1 + {x}^{2}) ( {x}^{4} + 1 - {x}^{2} )[/tex]

[tex] = ( {x}^{4} + 2 {x}^{2} + 1 - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = (( {x}^{2} + 1 {)}^{2} - {x}^{2} )( {x}^{4} - {x}^{2} + 1)[/tex]

[tex] = ( {x}^{2} + 1 + x)( {x}^{2} + 1 - x)[/tex]

[tex] = ( {x}^{4} - {x}^{2} + 1)[/tex]

how do you find the perimeter on a pythagorean theorem word problem?

Answers

p = root under (h square - b square)

Simplify: 4/15+7/8-11/12​

Answers

Answer:

[tex]\frac{9}{40}[/tex]

Step-by-step explanation:

LCD: 120

[tex]\frac{4}{15} +\frac{7}{8} -\frac{11}{12}[/tex]

[tex]\frac{32}{120} +\frac{105}{120} -\frac{110}{120}[/tex]

[tex]\frac{27}{120}[/tex]

[tex]\frac{9}{40}[/tex]

Hope this helps!

Answer:

9/40

hope this helps.

PLS HELP ME WITH THIS IM GONNA CRY ITS SO HARD....





Arsenic‐74 is used to locate brain tumors. It has a half‐life of 17.5 days. 90 mg were used in a procedure. Write an equation that can be used to determine how much of the isotope is left after x number of half-lives.

Answers

Let that be x

Use the general formula used for calculating half-life

[tex]\\ \rm\Rrightarrow A=A_o(0.5)^{\frac{t}{h}}[/tex]

H is half-life,t is timetime given x

put values

The equation is

[tex]\\ \rm\Rrightarrow A=90(0.5)^{x/17.5}[/tex]

I NEED THIS RIGHT NOW

Answers

Answer:

B

Step-by-step explanation:

If the numerator is one, the denominator is going to be the same value as a normal positve interger.

Answer:

A

Step-by-step explanation:

If z = 10, y = 9, and x = 8, it would fit the fact that z > y and y > x.

If we divide 1 by the variables, then it would be 1/10, 1/9, and 1/8. Imagine this as a pie. 1/8 would be the biggest slice then because it is cut into less pieces. 1/9 would be the second biggest slice because it is cut into less pieces than 1/10. Therefore, A is the correct answer.

I hope this helps and please mark this as brainliest!

9cm
7 cm
9cm
8cm
Olivia goes to Egypt and saw a model of
irged it using a scale factor of 1.2. What
ne new triangle pyramid?
6 cm
6 cm

Answers

Answer:

6 * 1.2 = 7.2

7 * 1.2 = 8.4

8 * 1.2 = 9.6

now find the Area and Perimeter of the enlarged triangle:

A = 1/2bh

A = 1/2 * 9.6 * 8.4

A = 40.32

P = a + b + c

P = 7.2 + 7.2 + 9.6

P = 24

So, the Area is 40.32 and the Perimeter is 24.

Round 716.51 to the nearest hundredth
A. 716
B. 717
C. 716.51
D. 716.515






Thank you to everyone thats helping me!​

Answers

Answer:

c

Step-by-step explanation:

the number(1) with the place value hundreth has nothing after it so it stays the same

Answer:

I believe the answer would be 717. Correct me if I'm wrong but that is what I believe the answer is.

Step-by-step explanation:

Since the answer is talking about hundredth, you would look at the decimal.

The decimal states that its .51, which means it could not be 716, since the decimal is less than 50, so your answer SHOULD be B). 717

What is the slope of the line through the points (-2, -1) and (4, 3)?


2/5

5/2

3/2

2/3

Answers

Answer:

2/3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3- -1)/ ( 4 - -2)

   = ( 3+1)/ ( 4+2)

   = 4/6

   = 2/3

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}[/tex]


[tex]\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}[/tex]

[tex]\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

I need help with this

Answers

Step-by-step explanation:

Doesn't the line show where the median is? Then it would be class 1

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